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We study the 2D static spin-pseudospin model equivalent to the dilutefrustrated antiferromagnetic Ising model with charge impurities. We present theresults of classical Monte Carlo simulation on a square lattice with periodicboundary conditions in a strong exchange limit. In the framework of thefinite-size scaling theory we obtained the static critical exponents for thespecific heat $\alpha$ and the correlation length $\nu$ for a wide range of thelocal density-density interaction parameter $\Delta$ and charge density $n$. Itwas shown that the system exhibits non-universal critical behavior depending onthese parameters.

Critical behavior of a 2D spin-pseudospin model in a strong exchange limit